Levinson-type inequalities via new Green functions and Montgomery identity
type: Item
instance of: scholarly article
title: Levinson-type inequalities via new Green functions and Montgomery identity
zbMATH Open document ID: 1482.26051
author: Muhammad Adeel
author: Khuram Ali Khan
author: Đilda Pečarić
author: J. Pečarić
published in: Open Mathematics
publication date: 2021-11-29T00:00:00Z
Mathematics Subject Classification ID: 26D20
Mathematics Subject Classification ID: 26D15
Mathematics Subject Classification ID: 94A20
zbMATH DE Number: 7435382
zbMATH Keywords: Levinson inequality
zbMATH Keywords: Montgomery identity
zbMATH Keywords: information theory
MaRDI profile type: Publication
full work available at URL: math-2020-0163
OpenAlex ID: W3045487587
cites work: Convex functions, partial orderings, and statistical applications
cites work: Generalization of an inequality of Ky Fan
cites work: Q4000235
cites work: Q5513102
cites work: Q3213358
cites work: Q3916770
cites work: Q4821460
cites work: Generalization of the Levinson inequality with applications to information theory
cites work: Levinson type inequalities for higher order convex functions via Abel-Gontscharoff interpolation
cites work: Estimation of \(f\)-divergence and Shannon entropy by Levinson-type inequalities via new Green's functions and Lidstone polynomial
cites work: Q5167068
cites work: Generalized Levinson's inequality and exponential convexity
cites work: Linear operators inequality for $n$-convex functions at a point
cites work: On some inequalities for s-convex functions and applications
cites work: Hermite-Hadamard type inequalities obtained via fractional integral for differentiable \(m\)-convex and \((\alpha, m)\)-convex functions
cites work: Hermite-Hadamard-Fejer type inequalities for s-convex function in the second sense via fractional integrals
cites work: Q5474507
cites work: Generalization of Jensen's inequality by Lidstone's polynomial and related results
cites work: New generalizations of Popoviciu-type inequalities via new Green's functions and Montgomery identity
cites work: Some new Ostrowski-type bounds for the Čebyšev functional and applications
cites work: Q2972691
cites work: Refinement of Jensen's inequality and estimation of \(f\)- and Rényi divergence via Montgomery identity
cites work: On Choosing and Bounding Probability Metrics
cites work: $f$ -Divergence Inequalities
cites work: Q3803964
cites work: Theory of statistical inference and information. Transl. from the Slovak by the author
cites work: Q4186205
cites work: Q5539510
cites work: Estimations of \(f\)- and Rényi divergences by using a cyclic refinement of the Jensen's inequality
DOI: 10.1515/MATH-2020-0163
description: scientific article; zbMATH DE number 7435382